1. Suppose you and your friends are playing darts. Explain what it means in context for the outcomes of the tosses to be independent. 2. Suppose that during a basketball game a broadcaster claims that a particular player has the hot hand. Explain what this means in context of basketball. 3. Do NFL teams get the hot hand? Here are the results for the 2019 Lions regular season, where they played 16 games: WWWLLLWLLLLLLLLL When pairing the data, we get the following pairs: WW WW WL LL LL LW WL LL LL LL LL LL LL LL LL a. Complete the table to summarize these results. Won first game Lost first game Total Won second game Lost second game Total b. Explain what it means for the Lions to have the hot hand.d. State the hypotheses we are interested in testing. e. Describe how to use notecards to simulate the distribution of the difference in winning percentage following a win and following a loss. 1. One hundred trials of the simulation were conducted assuming the Lions had the same ABILITY to win following a win and following a loss. Find the p-value. g. Interpret the p-value. Smudged difference in proportion of wings (after winning 1" - after losing 1") h. Make an appropriate conclusion